When heated to form a solution and then cooled quickly, these alloys become much softer than normal, during the diffusionless transformation, and then harden as they age.

A second possible solution is that these Angles of Ptolemy are not those of Schleswig at all.

When the pH of this solution rises, as a result of dilution by fresh water, these ions precipitate, forming " Yellow Boy " pollution.

The best studied of these processes is the mass dependent fractionation of calcium isotopes that accompanies the precipitation of calcium minerals, such as calcite, aragonite and apatite, from solution.

The solution is to characterize these objects in terms of their relations to other objects, as given by the morphisms of the respective categories.

As these methods are pushed to the limit, they approach the exact solution of the non-relativistic Schrödinger equation.

In many cases, these stories will describe a series of failed attempts to make land before the solution is found.

However, it remains difficult to find a solution to the coronal heating problem as these structures are being observed remotely, where many ambiguities are present ( i. e. radiation contributions along the LOS ).

Encyclopedia solves these cases by briefly closing his eyes while he thinks deeply, then asking a single question which directly leads to him finding the solution.

Critical for the solution of certain differential equations, these functions are used throughout both classical and quantum physics.

Limitations of these systems drove the need for a more universal navigation solution with greater accuracy.

Every holomorphic function can be separated into its real and imaginary parts, and each of these is a solution of Laplace's equation on R < sup > 2 </ sup >.

For these developments, it was essential that the solution of the Dirac equation for the hydrogen atom could be worked out exactly, such that any experimentally observed deviation had to be taken seriously as a signal of failure of the theory.

While draining, water and organic acid from the soil slowly ( over thousands or millions of years ) enlarges these cracks, dissolving the calcium carbonate and carrying it away in solution.

However, these prices set by cartels only provided a short-term solution because cartel members would cheat on each other by setting a lower price than the price set by the cartel.

Kim Jong-il said that the solution to this crisis is earning hard currency, developing information technology, and attracting foreign aid, but very little progress has been made in these areas.

If, on the other hand, ranks of these two matrices are equal, the system must have at least one solution.

Angelo S. Rappoport in his Dictionary of Socialism ( 1924 ) analysed forty definitions of socialism to conclude that common elements of socialism include: general criticisms of the social effects of private ownership and control of capital-as being the cause of poverty, low wages, unemployment, economic and social inequality, and a lack of economic security ; a general view that the solution to these problems is a form of collective control over the means of production, distribution and exchange ( the degree and means of control vary amongst socialist movements ); agreement that the outcome of this collective control should be a society based upon social justice, including social equality, economic protection of people, and should provide a more satisfying life for most people.

Rainwater absorbs fractional amounts of Carbon dioxide from the air as it falls, making a weak carbonic acid solution that eats into the limestone and eventually forms hollows and channels Local bedouin have always know these caves and some were used as water supplies.

Unlike general metaheuristics, which at best work only in a probabilistic sense, many of these tree-search methods are guaranteed to find the exact or optimal solution, if given enough time.

* In mathematics, a system of equations or a set of simultaneous equations share variables ; a solution is a set of variable values for which all these equations are satisfied together.

When this solution drops down it leaves behind particles of calcium carbonate and over time these form into a stalactite.

India found out after the road was completed, protested against these moves and decided to look for a diplomatic solution to ensure a stable Sino-Indian border.

A speculative solution is that many or all of these possibilities are realised in one or another of a huge number of universes, but that only a small number of them are habitable, and hence the fundamental constants of the universe are ultimately the result of the anthropic principle rather than a consequence of the theory of everything.

These were slaughtered by government forces, but these rebellions convinced the British under Prime Minister William Pitt that the only solution was to end Irish independence once and for all.

We are tempted to blame others for our problems rather than look them straight in the face and realize they are of our own making and possible of solution only by ourselves with the help of desperately needed, enlightened, competent leaders.

The movement toward European unity has been expressed in two currents: federalism and functionalism, one looking to the constitution of a United States of Europe, the other building on wartime precedents of practical cooperation for the solution of specific problems.

If we have five problems whose solution we seek in relatively united fashion, then there are twice as many issues which, I judge, sharply divide us, intergroup relations practitioners and lay people.

Some problems may encounter only very small viscous effects on the solution, in which case viscosity can be considered to be negligible.

By definition it does not cover problems whose solution are unknown or have not been characterised formally.

Many practical problems are actually " easy ", so the SAT solver can easily find a solution, or prove that none exists, relatively quickly, even though the instance has thousands of variables and tens of thousands of constraints.

Marshall was particularly discouraged after personally meeting with Stalin, who expressed little interest in a solution to German economic problems.

The ancient Roman concept of virtus ( i. e. of virtue that had to be proved by a political or military career ), which Cicero suggested as the solution to the societal problems of the late Republic, meant little to them.

Also, a software solution, which resided in the drive controller's ROM, could prevent the re-reads from occurring, though this could cause problems when genuine errors did occur.

The response to this was President Roosevelt calling a conference of thirteen school leaders to come up with a solution to the problems that the game of football was facing.

Senator John Kerry's 1988 Committee on Foreign Relations report on Contra drug links concluded that " senior U. S. policy makers were not immune to the idea that drug money was a perfect solution to the Contras ' funding problems.

These seven problems are considered by CMI to be " important classic questions that have resisted solution over the years ".

The field of recursion theory, meanwhile, categorizes undecidable decision problems by Turing degree, which is a measure of the noncomputability inherent in any solution.

A pattern must explain why a particular situation causes problems, and why the proposed solution is considered a good one.

* Software design pattern, a standard solution to common problems in software design.

** Architectural pattern, a standard solution to architectural problems in software engineering.

Using the Doctor V64 involved the solution of two problems: how to boot a game and how to save.

Diophantus was always satisfied with a rational solution and did not require a whole number which means he accepted fractions as solutions to his problems.

* A Free Android calculator for the solution of direct and inverse geodesic problems

One possible solution for this is to add a functional tumor suppressor gene onto the DNA to be integrated ; however, this poses its own problems, since the longer the DNA is, the harder it is to integrate it efficiently into cell genomes.

In the problems of finding the root of an equation ( or a solution of a system of equations ), an iterative method uses an initial guess to generate successive approximations to a solution.

*: 1958: International Conference on Scientific Information Washington DC included consideration of IR systems as a solution to problems identified.

However, later archival work by the Soviet physicist German Goncharov has suggested that while Fuchs ' early work ( most of which is still classified in the United States, but copies of which were available to the Soviets ) did not aid the Soviets in their effort towards the hydrogen bomb, it was actually far closer to the final correct solution than was recognized at the time, and indeed spurred Soviet research into useful problems which eventually resulted in the correct answer.

Pursuant to this provision and in the spirit of the moral relationship of the United States to Liberia, that Republic last year asked this Government to lend assistance in the solution of certain of their national problems, and hence the Commission was sent " across the ocean on two cruisers. http :// www. unz. org / Pub / LiteraryDigest-1909dec25-01167